Truncated order-7 heptagonal tiling

Truncated order-7 heptagonal tiling
Truncated order-7 heptagonal tiling
Poincaré disk model of the hyperbolic plane
Type Hyperbolic uniform tiling
Vertex configuration 7.14.14
Schläfli symbol t{7,7}
Wythoff symbol 2 7 | 7
Coxeter diagram
Symmetry group [7,7], (*772)
Dual Order-7 heptakis heptagonal tiling
Properties Vertex-transitive

In geometry, the truncated order-7 heptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{7,7}, constructed from one heptagons and two tetrakaidecagons around every vertex.

Related tilings

Uniform heptaheptagonal tilings
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Symmetry: [7,7], (*772) [7,7]+, (772)
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{7,7} t{7,7}
r{7,7} 2t{7,7}=t{7,7} 2r{7,7}={7,7} rr{7,7} tr{7,7} sr{7,7}
Uniform duals
V77 V7.14.14 V7.7.7.7 V7.14.14 V77 V4.7.4.7 V4.14.14 V3.3.7.3.7

See also

References

  • John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 (Chapter 19, The Hyperbolic Archimedean Tessellations)
  • "Chapter 10: Regular honeycombs in hyperbolic space". The Beauty of Geometry: Twelve Essays. Dover Publications. 1999. ISBN 0-486-40919-8. LCCN 99035678.

External links

Wikimedia Commons has media related to Uniform tiling 7-14-14.
  • Weisstein, Eric W. "Hyperbolic tiling". MathWorld.
  • Weisstein, Eric W. "Poincaré hyperbolic disk". MathWorld.
  • Hyperbolic and Spherical Tiling Gallery
  • KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
  • Hyperbolic Planar Tessellations, Don Hatch
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Other
Spherical
  • 2n
  • 33.n
  • V33.n
  • 42.n
  • V42.n
Regular
  • 2
  • 36
  • 44
  • 63
Semi-
regular
  • 32.4.3.4
  • V32.4.3.4
  • 33.42
  • 33.∞
  • 34.6
  • V34.6
  • 3.4.6.4
  • (3.6)2
  • 3.122
  • 42.∞
  • 4.6.12
  • 4.82
Hyper-
bolic


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